In this talk, we present our latest research progress in the area of non-reciprocal and topological photonics based on nonlinearities and external pumping with optical fields. We show that it is possible to largely break reciprocity and induce Faraday rotation, non-reciprocal polarization conversion, non-reciprocal phase shifts, isolation and circulation by externally pumping suitably designed nonlinear optical resonators. Realistic implementations based on silicon photonic ring resonators and optomechanical systems will be presented and discussed, with a vision for practical realizations in the context of quantum photonics and computing.
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